Geodesic
Kinetic equations with allowance for long-wavelength statistical coupling and large-scale fluctuations in a gas
Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 2, pp. 273-288 Cet article a éte moissonné depuis la source Math-Net.Ru

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Method of deriving functional kinetic equations for probability distribution of macroscopic density of one-particle states of a gas is suggested. The equations are used to prove the $H$-theorem for the evolution of strongly correlated initial states of a gas in the presence of long scale fluctuations in a system. 
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     author = {O. A. Grechannyi},
     title = {Kinetic equations with allowance for long-wavelength statistical coupling and large-scale fluctuations in~a~gas},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {273--288},
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}
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O. A. Grechannyi. Kinetic equations with allowance for long-wavelength statistical coupling and large-scale fluctuations in a gas. Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 2, pp. 273-288. http://geodesic.mathdoc.fr/item/TMF_1980_43_2_a9/

[1] O. A. Grechannyi, TMF, 36 (1978), 224 | MR

[2] E. V. Tolubinskii, Teoriya protsessov perenosa, «Naukova dumka», Kiev, 1969 | Zbl

[3] G. Gred, “Kineticheskaya teoriya gazov”, Termodinamika gazov, «Mashinostroenie», 1970

[4] O. A. Grechannyi, DAN USSR, ser. A, 1977, no. 8, 730

[5] Yu. L. Klimontovich, Statisticheskaya teoriya neravnovesnykh protsessov v plazme, MGU, 1964 | MR

[6] W. Ochs, Rep. Math. Phys., 9 (1976), 135 | DOI | MR | Zbl

[7] H. Mori, Progr. Theor. Phys., 49 (1973), 1516 | DOI

[8] H. Mori, Progr. Theor. Phys., 53 (1975), 1617 | DOI

[9] M. Tokuyama, H. Mori, Progr. Theor. Phys., 56 (1976), 1073 | DOI | MR

[10] R. Leaf, Physica, 72 (1974), 131 | DOI | MR

[11] Yu. L. Klimontovich, Kineticheskaya teoriya neidealnogo gaza i neidealnoi plazmy, «Nauka», 1975 | MR

[12] G. G. Hopfield, A. G. Bastin, Phys. Rev., 168 (1968), 193 | DOI

[13] H. P. Mckean, Commun. Pure. Appl. Math., 28 (1975), 435 | DOI | MR

[14] R. Libov, Vvedenie v teoriyu kineticheskikh uravnenii, «Mir», 1974

[15] N. N. Bogolyubov, Problemy dinamicheskoi teorii v statisticheskoi fizike, Gostekhizdat, 1946 | MR

[16] S. Chepmen, T. Kauling, Matematicheskaya teoriya neodnorodnykh gazov, IL, 1960 | MR

[17] P. Grei, Fizika prostykh zhidkostei, «Mir», 1971